The Rockets completed one last piece of offseason business Sunday, reaching agreement on a contract with rookie center/forward Joey Dorsey on the eve of players’ reporting for Tuesday’s start of training camp.

Dorsey is expected to sign a four-year, $3.5 million contract, with each of the last two seasons at the team’s option.

The deal, using a portion of the mid-level exception money left available after the signing of Carl Landry, will help the Rockets avoid a repeat of the protracted restricted free-agent negotiations they had with Landry.

Though Dorsey was chosen with the third pick of the second round, the contract was structured similar to that of a first-round draft choice. The difference is that the Rockets will have the option to pick up another season of the contract after the second and third seasons, rather than before those seasons, as with first-round picks.

The Rockets landed Dorsey with a Portland Trail Blazers pick acquired from the Memphis Grizzlies. The Rockets expect Dorsey, the Conference USA Defensive Player of the Year as a junior and as a senior at Memphis, to be able to contribute quickly. Though he is just 6-7, the Rockets hope his strength and long reach will allow him to work in the backup center rotation.

With the trade of first-round pick Donté Greene to the Sacramento Kings to acquire Ron Artest and with Maarty Leunen to play overseas, Dorsey is expected to be the Rockets’ only rookie.